Solve (2/3div(x-9))*9

$$( \frac{ 2 }{ 3 } \div (x-9)) \times 9$$

Evaluate

$$\frac{6}{x-9}$$

Solution Steps

Express \frac{\frac{2}{3}}{x-9} as a single fraction.

$$\frac{2}{3\left(x-9\right)}\times 9$$

Express \frac{2}{3\left(x-9\right)}\times 9 as a single fraction.

$$\frac{2\times 9}{3\left(x-9\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2\times 3}{x-9}$$

Multiply 2 and 3 to get 6.

$$\frac{6}{x-9}$$

Differentiate w.r.t. x

$$-\frac{6}{\left(x-9\right)^{2}}$$